Flavour from Fractal Mass Chains
arXiv:2509.04811 · doi:10.1016/j.physletb.2026.140268
Abstract
We explore the possibility that the underlying flavour structure of the Standard Model could be determined by mass chains on a fractal geometry. We consider, as an example, the theory space on a Sierpinski-like geometry. The fermion mass chains on a Sierpinski-like geometry with three decorations (iterations) lead to three zero modes, which can be identified with the three generations of the Standard Model. This framework also reproduces the measured charged and neutral lepton masses and mixing angles with very few parameters. We also briefly discuss the possible extension to the quark sector.
8 pages and six figures, Published version. Phys.Lett.B.874(2026)140268
References in corpus (18)
- Electroweak symmetry breaking from dimensional deconstruction
- Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
- Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
- A Clockwork Axion
- Lepton Masses and Mixing from Modular Symmetry
- Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry
- Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV
- A4 family symmetry and quark-lepton unification
- A Clockwork Theory
- A note on the predictions of models with modular flavor symmetries
- Magnetized orbifold models
- Three generations on a local vortex in extra dimensions
- Fermion Generations from "Apple-Shaped" Extra Dimensions
- Spacetime as a topological insulator: Mechanism for the origin of the fermion generations
- Tools for Deconstructing Gauge Theories in AdS5
- Exponential Hierarchies from Anderson Localization in Theory Space
- Three-generation Models from E_8 Magnetized Extra Dimensional Theory
- Fractal Theory Space: Spacetime of Noninteger Dimensionality